فهرست مقالات Strain approach

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  1 - A Plate Bending Kirchhoff Element Based on Assumed Strain Functions
  F Boussem L Belounar
  10.22034/jsm.2020.1901430.1601
  To investigate static and free vibration for thin plate bending structures, a four-node quadrilateral finite element is proposed in this research paper. This element has been formulated by using both the assumptions of thin plates theory (Kirchhoff plate theory) and str چکیده کامل

  To investigate static and free vibration for thin plate bending structures, a four-node quadrilateral finite element is proposed in this research paper. This element has been formulated by using both the assumptions of thin plates theory (Kirchhoff plate theory) and strain approach. The suggested element which possesses only three degrees of freedom (one transverse displacement and two normal rotations) at each of four corner nodes is based on assumed higher-order functions for the various components of strain field that satisfies the compatibility equation. The displacement functions of the developed element are obtained by integrating the assumed strains functions and satisfy the exact representation of the rigid body modes. Several numerical tests in both static and free vibration analysis are presented to assess the performance of the new element. The obtained results show high solution accuracy, especially for coarse meshes, of the developed element compared with analytical and other numerical solutions available in the literature. پرونده مقاله
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  2 - A New Three-Dimensional Sector Element for Circular Curved Structures Analysis
  H. E Khiouani L Belounar M Nabil Houhou
  10.22034/jsm.2019.1867106.1430
  In this research paper, the formulation of a new three-dimensional sector element based on the strain approach is presented for plate bending problems and linear static analysis of circular structures. The proposed element has the three essential external degrees of fre چکیده کامل

  In this research paper, the formulation of a new three-dimensional sector element based on the strain approach is presented for plate bending problems and linear static analysis of circular structures. The proposed element has the three essential external degrees of freedom (Ur, Vθ and W) at each of the eight corner nodes. The displacements field of the present element is based on assumed functions for the different strains satisfying the compatibility equations. The effectiveness of the present element is applied through several tests related to plate bending problems and linear static analysis of circular structures. The results of the developed element have been compared with analytical and other numerical solutions available in the literature. The obtained results show the excellent performances and precision of the present element. It is found that the new three-dimensional sector element is more accurate and efficient than the three-dimensional classical element based on displacement approach. پرونده مقاله
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  3 - A New Eight Nodes Brick Finite Element Based on the Strain Approach
  Kh Guerraiche L Belounar L Bouzidi
  In this paper, a new three dimensional brick finite element based on the strain approach is presented with the purpose of identifying the most effective to analyze linear thick and thin plate bending problems. The developed element which has the three essential external چکیده کامل

  In this paper, a new three dimensional brick finite element based on the strain approach is presented with the purpose of identifying the most effective to analyze linear thick and thin plate bending problems. The developed element which has the three essential external degrees of freedom (U, V and W) at each of the eight corner nodes, is used with a modified elasticity matrix in order to satisfy the basic hypotheses of the theory of plates. The displacements field of the developed element is based on assumed functions for the various strains satisfying the compatibility and the equilibrium equations. New and efficient formulations of this element is discussed in detail, and the results of several examples related to thick and thin plate bending in linear analysis are used to demonstrate the effectiveness of the proposed element. The linear analyses using this developed element exhibit an excellent performance over a set of problems. پرونده مقاله
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  4 - An Efficient Strain Based Cylindrical Shell Finite Element
  M Bourezane
  The need for compatibility between degrees of freedom of various elements is a major problem encountered in practice during the modeling of complex structures; the problem is generally solved by an additional rotational degree of freedom [1-3]. This present paper invest چکیده کامل

  The need for compatibility between degrees of freedom of various elements is a major problem encountered in practice during the modeling of complex structures; the problem is generally solved by an additional rotational degree of freedom [1-3]. This present paper investigates possible improvements to the performances of strain based cylindrical shell finite element [4] by introducing an additional rotational degree of freedom. The resulting element has 24 degrees of freedom, six essential external degrees of freedom at each of the four nodes and thus, avoiding the difficulties associatedwithinternal degrees of freedom (the three translations and three rotations) and the displacement functions of the developed element satisfy the exact representation of the rigid body motion and constant strains (in so far as this allowed by compatibility equations). Numerical experiments analysis have been conducted to assess accuracy and reliability of the present element, this resulting element with the added degree of freedom is found to be numerically more efficient in practical problems than the corresponding Ashwell element [4]. پرونده مقاله
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  5 - Formulation of a new finite element based on assumed strains for membrane structures
  Lahcene Fortas Lamine Belounar Tarek Merzouki
  10.30495/ijase.2019.705775
  AbstractIn this paper, a new triangular membrane finite element with in-plane drilling rotation has been developed using the strainbasedapproach for static and free vibration analyses. The proposed element, having three degrees of freedom at each of thethree corner node چکیده کامل

  AbstractIn this paper, a new triangular membrane finite element with in-plane drilling rotation has been developed using the strainbasedapproach for static and free vibration analyses. The proposed element, having three degrees of freedom at each of thethree corner nodes, is based on assumed strain functions satisfying both compatibility and equilibrium equations. Numericalinvestigations have been conducted using several tests, including static and free vibration problems, and the obtained resultsare compared with analytical and numerical available solutions. It is found that efficient convergence characteristics andaccurate results can be achieved using the developed element. پرونده مقاله